Does critical theory have a theory on history?

Critical theory is associated with the works of sociologists such as Max Horkheimer, Theodor Adorno and Herbert Marcuse (the Frankfurt School). Critical theory is often considered as influenced by the tradition of Hegelian marxism (e.g. Gy�rgy Luk�cs and Antonio Gramsci), that it, it is NOT economic deterministic. However, when I read some of the works of the critical theorists, I get the impression that they consider ideas as MORE important than the economy. My question, therefore, is: Does critical theory have a theory on history? If so, is it within the tradition of historical materialism? Sometimes when reading critical theory, I get the impression that they do NOT consider ideas as solely a "superstructure", but in fact as "the driving force in history". If this is correct, would not this mean that they are hegelians rather than hegelian marxists.